QUESTION 2
There are 3 types of football pitch in a sports complex, pitch A, B and C. The utility cost per hour for each pitch is shown in Table Q2. The sports complex company paid a total of RM 3450 in a month for the utility cost. The operation hour of pitch A in a month is double that of pitch B. The total operation hours for 3 pitches are 700 hours a month.
(a) Analyse the scenario and write in a matrix form. (3 marks)
(b) Using the matrix formed in (a), solve for the operation hours of each pitch in a month using Gauss-Jourdan elimination method. (7 marks)
Table Q2: Utility cost by boiler type
Pitch type | Utility cost per hour (RM)
A | 4
B | 5
C | 6
[Total = 10 marks]